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Finding the Fourth Proportional to 102,284.87, 153,451.44 and 32,164.19

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Solution

The fourth proportional to 102,284.87, 153,451.44 and 32,164.19 is: 48,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284.87 : 153,451.44 = 32,164.19 : x
  2. Step 2: Convert to fraction form
    102,284.87/153,451.44 = 32,164.19/x
  3. Step 3: Cross multiply
    102,284.87x = 153,451.44 × 32,164.19
  4. Step 4: Simplify right side
    102,284.87x = 4,935,640,343.86
  5. Step 5: Solve for x
    x = 4,935,640,343.86/102,284.87
  6. Step 6: Final answer
    x = 48,253.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.